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Finding the Third Proportional to 13,898.50 and 32,148.25

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Solution

The third proportional to 13,898.50 and 32,148.25 is: 74,361.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,898.50 : 32,148.25 = 32,148.25 : x
  2. Step 2: Convert to fraction form
    13,898.50/32,148.25 = 32,148.25/x
  3. Step 3: Cross multiply
    13,898.50x = 32,148.25 × 32,148.25
  4. Step 4: Simplify right side
    13,898.50x = 1,033,509,978.06
  5. Step 5: Solve for x
    x = 1,033,509,978.06/13,898.50
  6. Step 6: Final answer
    x = 74,361.26

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.